International PhD course: Representation theory - Number theory

International PhD course: Representation theory, L-functions and number theory

Representation theory studies abstract groups of symmetries by representing them as concrete symmetries of the simplest geometric objects, linear spaces. Since Dirichlet’s theorem on primes in arithmetic progressions it is known that there is a deep connection between number theory and representation theory. L-functions and Dirichlet series are in the central place in both representation theory and number theory. P-adic groups also play a prominent role in number theory. This course will introduce students to some of the current trends in the overlap of representation theory and number theory.